Motion of Changes in B

# Motion of Changes in B - Physics 202 Thursday Announcements...

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Physics 202 Thursday, March 25, 1999 Announcements: Lecture notes: Motion of Changes in B F = qv (cross product) B .... towards the center of the circle (centripetal force) o F = ma c = mv 2 /r ..... r = radius of the circle o F = qvb o Therefore, qvB = mv 2 /r v = qBr/ m o v = ϖ r ( from circular motion) o v = 2 π fr or 2 π f = qB/m f = qB/ 2 π m T = 1/f = 2 π m / qB

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Let us assume a charges particle has v at some arbitrary angle with respect to B as it enters the magnetic field, v can be resolved into v x , v y , and v z . ( v x is not affected by B, v y and v z [magnitude = ( v y 2 + v z 2 ) 1/2 ] are and show circular motion) The most general motion of a charged particle is a helix. o See Figure 29-11c o See Figure 29-12 See also Problem 29-22 Differences between E and B fields F E = qE (same direction) o F B = qv (cross product) B ( force is perpendicular to B) F E acts on a charge independent of whether v=0 or not zero When a charged particle moves under E, work is being done o K.E. increases or decreases as v changes
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